Solve the linear inequality 1/4x−2<−1 .(1 point)

Answer 1

To solve the linear inequality \( \frac{1}{4}x - 2 < -1 \), follow these steps:

1. Add 2 to both sides: \[ \frac{1}{4}x - 2 + 2 < -1 + 2 \] This simplifies to: \[ \frac{1}{4}x < 1 \]

2. Multiply both sides by 4 to eliminate the fraction: \[ 4 \cdot \frac{1}{4}x < 4 \cdot 1 \] This simplifies to: \[ x < 4 \]

Thus, the solution to the inequality is: \[ x < 4 \]